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The lower bounds of non-real eigenvalues for singular indefinite Sturm–Liouville problems

Part of: Special classes of linear operators Boundary value problems Ordinary differential operators

Published online by Cambridge University Press:  22 December 2023

Fu Sun
Fu Sun*
Affiliation:
School of Statistics and Data Science, Qufu Normal University, Qufu 273165, People's Republic of China (sfmath@163.com)
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Abstract

The present paper deals with the non-real eigenvalues for singular indefinite Sturm–Liouville problems. The lower bounds on non-real eigenvalues for this singular problem associated with a special separated boundary condition are obtained.

Keywords

Sturm–Liouville problemnon-real eigenvalueindefinitelower bounds

MSC classification

Primary: 34B24: Sturm-Liouville theory
Secondary: 34L15: Eigenvalues, estimation of eigenvalues, upper and lower bounds 47B50: Operators on spaces with an indefinite metric
Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , First View , pp. 1 - 10
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Copyright
Copyright © The Author(s), 2023. Published by Cambridge University Press on behalf of The Royal Society of Edinburgh

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